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199505232 = 243210313451
BaseRepresentation
bin10111110010000…
…11010101010000
3111220101220201200
423321003111100
5402033131412
631444031200
74641523623
oct1371032520
9456356650
10199505232
11a2685263
1256992500
1332443044
141c6d3dba
15127ac9dc
hexbe43550

199505232 has 60 divisors (see below), whose sum is σ = 563800224. Its totient is φ = 65851200.

The previous prime is 199505231. The next prime is 199505233. The reversal of 199505232 is 232505991.

It is a happy number.

199505232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199505231) and next prime (199505233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199505231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8107 + ... + 21557.

Almost surely, 2199505232 is an apocalyptic number.

199505232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199505232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281900112).

199505232 is an abundant number, since it is smaller than the sum of its proper divisors (364294992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199505232 is a wasteful number, since it uses less digits than its factorization.

199505232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 199505232 is about 14124.6321014036. The cubic root of 199505232 is about 584.3209126335.

The spelling of 199505232 in words is "one hundred ninety-nine million, five hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 13451 14832 26902 40353 53804 80706 107608 121059 161412 215216 242118 322824 484236 645648 968472 1385453 1936944 2770906 4156359 5541812 8312718 11083624 12469077 16625436 22167248 24938154 33250872 49876308 66501744 99752616 199505232